Involutive Brauer groups of a Krull domain
Faculty of Sciences. Mathematics and Computer Science
New York, N.Y.
Communications in algebra. - New York, N.Y.
, p. 5269-5295
In this text, we introduce and study involutive class groups and Brauer groups of a Krull domain R. We derive some exact sequences, connecting these groups and linking them to classical invariants, thus allowing to calculate them in concrete situations. We provide a geometric interpretation in terms of etale cohomology with respect to the sheaf of square roots of unity on Spec(R), as another useful tool to calculate these invariants.